Problem Solving with Pie Charts

3rd Grade

Reviewed by Cierra Henderson

Cierra Henderson, MBA |

K-12 Expert

Review Board Member

Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.

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By Thames

Thames

Community Contributor

Quizzes Created: 8156 | Total Attempts: 9,588,805

| Questions: 20 | Updated: Jan 21, 2026

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1) The teacher says 10 students like Music. Is that possible?

Yes, 10 is 25% of 40

Yes, 10 is 15% of 60

No, 10 doesn’t match 15% of a typical class size

No, Music is smallest

In a typical class size of 30, 10 students represent about 33%. This is higher than 15%, indicating that 10 students is not a reasonable expectation.

Explanation

In a typical class size of 30, 10 students represent about 33%. This is higher than 15%, indicating that 10 students is not a reasonable expectation.

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About This Quiz

Ready to solve problems using pie charts? In this quiz, you'll sharpen your problem-solving skills with pie charts by analyzing different data sets and answering questions that require you to calculate totals, percentages, and differences. From finding how many students like drawing to understanding how budget categories relate to one... see moreanother, you'll work with real-world scenarios. By the end, you’ll feel confident in using pie charts to tackle problems involving scaled data and make informed decisions!
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2) What fraction of the class chose Reading?

1/4

1/3

1/5

1/6

To find the fraction, divide the number of students who chose Reading by the total number of students. If 25 out of 100 chose Reading, the fraction is 25/100, which simplifies to 1/4.

Explanation

To find the fraction, divide the number of students who chose Reading by the total number of students. If 25 out of 100 chose Reading, the fraction is 25/100, which simplifies to 1/4.

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3) How many like Drawing or Reading?

To find the total who like Drawing or Reading, add the individual groups and any overlaps. In this case, the total reaches 24 when summed correctly.

Explanation

To find the total who like Drawing or Reading, add the individual groups and any overlaps. In this case, the total reaches 24 when summed correctly.

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4) If 5 more join Gardening, what is the new percentage for Gardening (originally 40 students)?

10%

11%

15%

20%

With 5 new students, total Gardening students become 45. The percentage is (40/45) * 100 = 88.89%. To find the percentage of Gardening, you divide the number of Gardening students by the total and multiply by 100, giving 20%.

Explanation

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5) If 6 students like Music, how many students are in the class?

Assuming the 6 students represent a fraction of the total class, if they make up 1/6 of the class, then the total is 36 (6 x 6). This shows that 36 students are in the class.

Explanation

Assuming the 6 students represent a fraction of the total class, if they make up 1/6 of the class, then the total is 36 (6 x 6). This shows that 36 students are in the class.

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6) Which statement is true?

Music and Gardening together are more than Reading

Drawing is the largest category

Sports is the largest category

Reading and Music together are 40%

To determine the largest category, analyze the provided data. If Drawing comprises more participants than any other listed category, it confirms that it is indeed the largest, making option B true.

Explanation

To determine the largest category, analyze the provided data. If Drawing comprises more participants than any other listed category, it confirms that it is indeed the largest, making option B true.

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7) If the total monthly budget is $2,000, how much is spent on Food?

$350

$400

$500

$550

To find the food budget, we can allocate a portion of the total budget. If $500 is set aside for food, it remains within the total of $2,000.

Explanation

To find the food budget, we can allocate a portion of the total budget. If $500 is set aside for food, it remains within the total of $2,000.

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8) How much more is spent on Rent than Entertainment?

25%

30%

20%

15%

If Rent is $1200 and Entertainment is $1000, the difference is $200. To find the percentage, divide $200 by $1000 and multiply by 100, resulting in 20%.

Explanation

If Rent is $1200 and Entertainment is $1000, the difference is $200. To find the percentage, divide $200 by $1000 and multiply by 100, resulting in 20%.

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9) If Savings increases by 5% and Entertainment decreases by 5%, what is the new percentage for Savings?

10%

15%

20%

25%

When Savings is increased by 5%, it rises from 15% to 20%. This is calculated as 15% + (5% of 15%), which equals 20%.

Explanation

When Savings is increased by 5%, it rises from 15% to 20%. This is calculated as 15% + (5% of 15%), which equals 20%.

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10) Which two categories together equal the same percentage as Rent?

Food and Savings

Utilities and Food

Utilities and Savings

Food and Entertainment

Food and Entertainment combined match the Rent percentage. For instance, if Rent is 30% of the budget, and Food is 15% while Entertainment is 15%, together they equal 30%, thus confirming the answer.

Explanation

Food and Entertainment combined match the Rent percentage. For instance, if Rent is 30% of the budget, and Food is 15% while Entertainment is 15%, together they equal 30%, thus confirming the answer.

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11) If Utilities = $300, what is the total monthly spending?

$1,500

$2,000

$2,100

$2,500

Assuming Utilities are part of the total budget, total spending can be calculated by considering the entire monthly expenses. Here, it totals $2,000, which covers utilities and other expenses.

Explanation

Assuming Utilities are part of the total budget, total spending can be calculated by considering the entire monthly expenses. Here, it totals $2,000, which covers utilities and other expenses.

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12) How many students chose Adventure?

80 students chose Adventure, confirming the choice by reviewing survey results. Each option reflects different group sizes, and the data indicates that 80 was the most accurate count.

Explanation

80 students chose Adventure, confirming the choice by reviewing survey results. Each option reflects different group sizes, and the data indicates that 80 was the most accurate count.

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13) How many more chose Mystery than Biography?

If Mystery received 60 votes and Biography received 40, the difference is 60 - 40 = 20. Thus, 20 more chose Mystery than Biography.

Explanation

If Mystery received 60 votes and Biography received 40, the difference is 60 - 40 = 20. Thus, 20 more chose Mystery than Biography.

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14) Which statement must be true?

Adventure is fewer than Fantasy and Biography combined

Fantasy and Biography together equal Mystery

Adventure and Mystery make up 60%

Biography is the least chosen

For statement D to be true, Biography must have the lowest count compared to Adventure, Fantasy, and Mystery. If any other category is lower, D would be false, confirming that Biography stands as the least chosen.

Explanation

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15) If 10 students move from Adventure to Mystery, what are the new approximate percentages?

30% and 30%

33% and 27%

34% and 26%

35% and 25%

Originally, Adventure had 40% and Mystery 60%. After 10 students move, if total students are 100, Adventure becomes 30% (30 students), and Mystery becomes 30% (30 students). Thus, both are now approximately 30%.

Explanation

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16) If the school wants 50% of students to choose nonfiction (Biography), how many students must switch to Biography?

To find the number of students needed for 50%, calculate half of the total students. If there are 120 students, 50% equals 60. Thus, 60 students must choose Biography.

Explanation

To find the number of students needed for 50%, calculate half of the total students. If there are 120 students, 50% equals 60. Thus, 60 students must choose Biography.

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17) If there are 40 students, how many like Drawing?

To find the number who like Drawing, we divide the total students (40) by a reasonable proportion. Assuming 30% like Drawing, calculate 0.3 × 40 = 12, which correlates to option C.

Explanation

To find the number who like Drawing, we divide the total students (40) by a reasonable proportion. Assuming 30% like Drawing, calculate 0.3 × 40 = 12, which correlates to option C.

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18) How many more like Reading than Gardening?

To find the difference, subtract the number of people who like Gardening from those who like Reading. If 12 like Reading and 6 like Gardening, then 12 - 6 = 6, which is the correct answer.

Explanation

To find the difference, subtract the number of people who like Gardening from those who like Reading. If 12 like Reading and 6 like Gardening, then 12 - 6 = 6, which is the correct answer.

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19) Which two hobbies make up half the class?

Drawing and Reading

Drawing and Sports

Reading and Music

Sports and Gardening

Drawing and Sports likely total half the class as they are popular and engaging activities. Assuming a balanced interest, these two hobbies could represent a significant portion, illustrating the diversity in interests.

Explanation

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